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Finding the Fourth Proportional to 216,133.40, 323,969.70 and 82,962.20

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Solution

The fourth proportional to 216,133.40, 323,969.70 and 82,962.20 is: 124,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,133.40 : 323,969.70 = 82,962.20 : x
  2. Step 2: Convert to fraction form
    216,133.40/323,969.70 = 82,962.20/x
  3. Step 3: Cross multiply
    216,133.40x = 323,969.70 × 82,962.20
  4. Step 4: Simplify right side
    216,133.40x = 26,877,239,045.34
  5. Step 5: Solve for x
    x = 26,877,239,045.34/216,133.40
  6. Step 6: Final answer
    x = 124,354.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.